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Finding the Fourth Proportional to 15,533.46, 23,301.18 and 5,671.46

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Solution

The fourth proportional to 15,533.46, 23,301.18 and 5,671.46 is: 8,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.46 : 23,301.18 = 5,671.46 : x
  2. Step 2: Convert to fraction form
    15,533.46/23,301.18 = 5,671.46/x
  3. Step 3: Cross multiply
    15,533.46x = 23,301.18 × 5,671.46
  4. Step 4: Simplify right side
    15,533.46x = 132,151,768.58
  5. Step 5: Solve for x
    x = 132,151,768.58/15,533.46
  6. Step 6: Final answer
    x = 8,507.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.